General and standard soliton solutions for nc-burgers and mCH models in nonlinear wave propagation
- Publication Type: Article / Article
- Volume: 352
- Publication Date: 2026
- Doi Number: 10.1016/j.ijleo.2026.172827
- Journal Name: Optik
- Journal Indexes: Scopus, Compendex, INSPEC, Academic Search Ultimate (EBSCO)
- Keywords: Analytic solutions, Generalized Kudryashov method, Right-handed nc-B equation, Simplified mCH equation
- Karadeniz Technical University Affiliated: No
Abstract
The right-handed non-commutative Burgers’ (nc-Burgers) equation and the simplified modified Camassa-Holm equation are significant models used to interpret unidirectional propagation in shallow water waves, propagation of solitons in nonlinear optical fibers, the dynamics of waves in dispersive media, tsunamis and surface waves in oceans, ocean currents and atmospheric waves, geophysical flows, intra-molecular vibrational redistribution, traffic flow, gas dynamics, etc. In this article, we examine further general and standard soliton solutions of the stated models. The generalized Kudryashov approach is implemented to investigate the solutions. A wide range of soliton solutions has been established, comprising subjective parameters. For definite values of the parameters, some known solitons that are reachable in the literature and some typical solitons are ascertained in the form of exponential, hyperbolic, and rational functions from the stated equations. We analyze the variability of the wave propagation of the ascertained results through portraying 3D and 2D profiles. The present study contributes different soliton forms, namely, kink, flat kink, parabolic soliton, bell-shaped soliton, squeezed bell-shaped soliton, and other soliton shapes. The attained results ensure that the executed technique is a well-suited, complete, and broadly applicable tool for extracting the analytic solutions to nonlinear evolution equations in science and engineering.